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22145030352 = 2432153784933
BaseRepresentation
bin10100100111111100…
…100101100011010000
32010011022210002201100
4110213330211203100
5330323111432402
614101232504400
71412526436464
oct244774454320
963138702640
1022145030352
119434324085
1243603ab100
13211bc00b73
1411011344a4
1589922a71c
hex527f258d0

22145030352 has 30 divisors (see below), whose sum is σ = 61975328402. Its totient is φ = 7381676736.

The previous prime is 22145030339. The next prime is 22145030353. The reversal of 22145030352 is 25303054122.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22134298176 + 10732176 = 148776^2 + 3276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22145030353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76892323 + ... + 76892610.

Almost surely, 222145030352 is an apocalyptic number.

It is an amenable number.

22145030352 is an abundant number, since it is smaller than the sum of its proper divisors (39830298050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22145030352 is a wasteful number, since it uses less digits than its factorization.

22145030352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153784947 (or 153784938 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 22145030352 its reverse (25303054122), we get a palindrome (47448084474).

The spelling of 22145030352 in words is "twenty-two billion, one hundred forty-five million, thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 153784933 307569866 461354799 615139732 922709598 1230279464 1384064397 1845419196 2460558928 2768128794 3690838392 5536257588 7381676784 11072515176 22145030352